Skeptic says:

I’ve been a developer for decades and I use statistics frequently in my work. Statistics clearly has real world applications in all of the subjects you list.

Accounting – Random sampling is frequently used by accounting firms when accounts (like travel expenses) are relatively small and inconsequential. You can use a random sample to estimate the quality of the whole population of accounts.

Finance – Trend analysis and correlation are common when making economic forecasts.

Management – Sampling of opinion polls and data pertaining to personnel. These are often summarized with estimates of errors.

Marketing – Customer surveys, correlations between advertising outlays and increased revenues. Estimates of market sizes uses sampling. Product quality is also a rich field for statistical analysis.

Any time you want a quick answer, you can get a good estimate by using statistical sampling. For example, a stratified random sample of accounts can be used instead of an exact calculation when you have paper sales orders (or pending sales orders) that are not entered into the computer. Make sure to count all the big ones, and you can estimate the small ones.